Suppose we have a right triangle with integer sides (in some unit of measure). Prove (a) One of the legs has a length divisible by 3. (b) One of the three sides has length divisible by 5.
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Originally Posted by NikoBellic Suppose we have a right triangle with integer sides (in some unit of measure). Prove (a) One of the legs has a length divisible by 3. We want to show either or is divisible by . WLOG if then we're done since then . So assume and are both not divisible by . But then by flt we get that and , so .
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